Visualization toolmaker. Founder @observablehq. Creator @d3. Former @nytgraphics. Pronounced BOSS-tock.
Circular SegmentPacking Circles inside a RectangleRadical AxisRounded Convex PolygonPoint-Box CollisionUrquhart GraphRandom Points on a SphereSpherical Fibonacci LatticeSoddy Circles19-CircleCircle Offset Along LineClosest Point on LineCircumcircleTangent to Two CirclesCircle Tangent to Three LinesAngle Bisector of Two LinesConvex Polygon Incircle
Apollonian Gasket
function gasket(t) {
const x0 = 0, y0 = 0, r0 = 1, b0 = -1 / r0;
const x1 = (1 + t) / 2, y1 = 0, r1 = r0 - Math.sqrt(x1 * x1 + y1 * y1), b1 = 1 / r1;
const x2 = -r1, y2 = y1, r2 = x1, b2 = 1 / r2;
const c0 = [x0, x0, b0];
const c1 = [x1, y1, b1];
const c2 = [x2, y2, b2];
const b3 = solve(b0, b1, b2);
const c3 = [solve(b0 * x0, b1 * x1, b2 * x2, 2) / b3, solve(b0 * y0, b1 * y1, b2 * y2, 2) / b3, b3];
return [
c0, c1, c2, c3,
...circles(c0, c1, c2, c3),
...circles(c3, c1, c2, c0),
...circles(c0, c2, c3, c1),
...circles(c0, c1, c3, c2)
];
}
function* circles(c0, c1, c2, c3) {
const c = circle(c0, c1, c2, c3);
if (!(Math.abs(c[2]) < 200)) return;
yield c;
yield* circles(c0, c1, c, c2);
yield* circles(c1, c, c2, c0);
yield* circles(c2, c, c0, c1);
}
function circle([x0, y0, b0], [x1, y1, b1], [x2, y2, b2], [x3, y3, b3]) {
const b = 2 * (b0 + b1 + b2) - b3;
return [
(2 * (b0 * x0 + b1 * x1 + b2 * x2) - b3 * x3) / b,
(2 * (b0 * y0 + b1 * y1 + b2 * y2) - b3 * y3) / b,
b
];
}
function solve(x, y, z, offset = 0) {
const b = x + y + z;
const c = x * x + y * y + z * z - b * b / 2 - offset;
return Math.sqrt(Math.max(0, b * b - 2 * c)) + b;
}
One platform to build and deploy the best data apps
Experiment and prototype by building visualizations in live JavaScript notebooks. Collaborate with your team and decide which concepts to build out.
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